Mistake of the week-14

Math Vocabulary:

Coefficient– Number that represents a constant value, usually multiplies the expression.

Factorize/ factor/ factoring– In math factoring or to factor is to find the smallest numbers that multiplied together will give you the original number. This is used so you can work with simpler and smaller numbers.

Ex: 250= 25 x 10, you can still make those numbers smaller, 25= 5 x 5 and 10 = 2 x 5.

Therefore it will end up being 250 = 5 x 5 x 2 x 5.

Quadratic Function– A function in which the equation’s highest exponent is 2.

Isolate– Leave variable by itself.

Simplify– Write something in its most basic/simple form.

Denominator– The bottom number in a fraction.

Nominator– The upper part in a fraction.

Rational Equations- An equation that is displayed as a fraction,

Best mistake of the week:

Workbook Page 409, number 2:

My mistake:

I do not like word problems, and using equations and expressions to describe them is even more difficult. For this problem, it was easier to write the expressions but there was a part in which I needed to add or subtract 12 hours from the time the train or the airplane took to complete the 2000 km. Because i did that part wrong, the answer I got was negative but that showed me that my work had an error somewhere in the expressions.

Why is this important? 

If you cannot write word problems accordingly to the text, it might be really difficult to analyze it and get the right answer on a test, even more important to know for the finals or a midterm.

What I did:

The organization of my DST (Distance, Speed, and Time) table was right. However when I was adding the 12 hours, I added them to the wrong expression, and the answer I got was negative.

Solution:

If we do a quick graph we can see which expression should get the extra twelve hours. in this case, because the train takes more hours than the airplane, we need to add the hours to the airplane so the time is the same.

The solution is correct.